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In this article, we review selective inference, a set of techniques for inference when the statistical question asked is a function of the data. This setting often arises in contemporary scientific workflows, where hypotheses and parameters…

统计方法学 · 统计学 2026-04-14 Anna Neufeld , Ronan Perry , Daniela Witten

We give a finite-sample analysis of predictive inference procedures after model selection in regression with random design. The analysis is focused on a statistically challenging scenario where the number of potentially important…

统计理论 · 数学 2009-08-26 Hannes Leeb

Statistical analyses of multipopulation studies often use the data to select a particular population as the target of inference. For example, a confidence interval may be constructed for a population only in the event that its sample mean…

统计理论 · 数学 2025-09-18 Peter Hoff , Surya Tokdar

Causal inference is crucial for understanding the true impact of interventions, policies, or actions, enabling informed decision-making and providing insights into the underlying mechanisms that shape our world. In this paper, we establish…

统计方法学 · 统计学 2024-03-26 Jingyue Huang , Changbao Wu , Leilei Zeng

Evaluating treatment effect heterogeneity widely informs treatment decision making. At the moment, much emphasis is placed on the estimation of the conditional average treatment effect via flexible machine learning algorithms. While these…

统计方法学 · 统计学 2021-05-07 Lihua Lei , Emmanuel J. Candès

Significant treatment effects are often emphasized when interpreting and summarizing empirical findings in studies that estimate multiple, possibly many, treatment effects. Under this kind of selective reporting, conventional treatment…

计量经济学 · 经济学 2025-12-11 Andreas Dzemski , Ryo Okui , Wenjie Wang

This dissertation focuses on modern causal inference under uncertainty and data restrictions, with applications to neoadjuvant clinical trials, distributed data networks, and robust individualized decision making. In the first project, we…

统计方法学 · 统计学 2023-01-24 Xiaoqing Tan

In this work, we consider causal inference in various high-dimensional treatment settings, including for single multi-valued treatments and vector treatments with binary or continuous components, when the number of treatments can be…

统计理论 · 数学 2026-02-26 Patrick Kramer , Edward H. Kennedy , Isaac M. Opper

This paper explores the challenges of constructing suitable inferential models in scenarios where the parameter of interest is determined in light of the data, such as regression after variable selection. Two compelling arguments for…

统计理论 · 数学 2025-07-22 Daniel Garcia Rasines , G. Alastair Young

Variable selection for regression models plays a key role in the analysis of biomedical data. However, inference after selection is not covered by classical statistical frequentist theory which assumes a fixed set of covariates in the…

统计方法学 · 统计学 2021-07-21 Michael Kammer , Daniela Dunkler , Stefan Michiels , Georg Heinze

Confidence intervals (CIs) are instrumental in statistical analysis, providing a range estimate of the parameters. In modern statistics, selective inference is common, where only certain parameters are highlighted. However, this selective…

统计方法学 · 统计学 2025-09-17 Tzviel Frostig , Yoav Benjamini , Ruth Heller

We consider clinical trials in which an experimental treatment is compared with a control in pre-specified patient subpopulations. In such settings, adaptive enrichment designs allow the enrolled population to be modified at an interim…

统计方法学 · 统计学 2026-03-17 Enyu Li , Nigel Stallard , Ekkehard Glimm , Dominic Magirr , Peter K. Kimani

We derive confidence intervals and confidence sequences for causal effects in situations where the back-door or front-door criteria are applicable. Our tightest confidence intervals hold in the standard setting where the training data…

统计理论 · 数学 2026-05-26 Vladimir Vovk , Ruodu Wang

Researchers are often interested in treatment effects on outcomes that are only defined conditional on a post-treatment event status. For example, in a study of the effect of different cancer treatments on quality of life at end of…

Causal inference is best understood using potential outcomes. This use is particularly important in more complex settings, that is, observational studies or randomized experiments with complications such as noncompliance. The topic of this…

统计理论 · 数学 2007-06-13 Donald B. Rubin

Corrected confidence intervals are developed for the mean of the second component of a bivariate normal process when the first component is being monitored sequentially. This is accomplished by constructing a first approximation to a…

统计理论 · 数学 2007-06-13 R. C. Weng , D. S. Coad

We revisit the problem of constructing predictive confidence sets for which we wish to obtain some type of conditional validity. We provide new arguments showing how ``split conformal'' methods achieve near desired coverage levels with high…

统计理论 · 数学 2025-03-04 John C. Duchi

Interference arises when an individual's potential outcome depends on the individual treatment level, but also on the treatment level of others. A common assumption in the causal inference literature in the presence of interference is…

统计方法学 · 统计学 2018-05-15 Georgia Papadogeorgou , Fabrizia Mealli , Corwin M. Zigler

Causal inference is a critical research topic across many domains, such as statistics, computer science, education, public policy and economics, for decades. Nowadays, estimating causal effect from observational data has become an appealing…

统计方法学 · 统计学 2020-02-10 Liuyi Yao , Zhixuan Chu , Sheng Li , Yaliang Li , Jing Gao , Aidong Zhang

In biomedical research, repeated measurements within each subject are often processed to remove artifacts and unwanted sources of variation. The resulting data are used to construct derived outcomes that act as proxies for scientific…

统计方法学 · 统计学 2026-02-03 Zihang Wang , Razieh Nabi , Benjamin B. Risk
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